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Daily network digest

Monday, December 8, 2025

Directed information-flow networks for this session, covering US equities, Cryptocurrency, Foreign exchange. Each class is estimated independently over a trailing one-year window; the tables below rank the assets carrying the most influence within their own network.

Jump to: US equities · Cryptocurrency · Foreign exchange

US equities

PBA was the most central name, carrying 2.72× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.173
Clustering
0.424
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
PBA 1 0.00182 2.72× 23.5% 10.1% L, RY, ULS, PCAR, GL
EPD 2 0.00174 2.60× 26.3% 10.3% CSCO, CSX, AFL, CNI, HESM
CSX 3 0.00172 2.57× 23.0% 10.9% V, VLTO, ORLY, CL, RNR
CME 4 0.00166 2.48× 26.7% 17.7% SLF, OGE, NNN, STAG, AWK
BMO 5 0.00160 2.39× 23.4% 13.8% EVRG, CSQ, CPRT, STE, AGO
COST 6 0.00159 2.38× 29.0% 11.8% VLTO, KEY, CNO, EXLS, A
CSQ 7 0.00159 2.37× 21.9% 1.1% RS, UNF, THO, FDX, APG
AGO 8 0.00157 2.35× 25.8% 11.8% JCI, CMS, INTU, CNI, WM
JNJ 9 0.00154 2.30× 21.8% 14.5% ROP, EGP, BEN, J, AVB
INTU 10 0.00149 2.23× 26.6% 12.7% TT, HSIC, TDY, SNA, WTM

Rising influence vs 2025-12-05

SymbolPageRank PreviousChange
CLX 0.001460.00010 +0.00136
WSFS 0.001360.00010 +0.00126
HPQ 0.001330.00010 +0.00123
UTHR 0.001310.00010 +0.00121
WFC 0.001280.00010 +0.00118

Falling influence

SymbolPageRank PreviousChange
LBTYK 0.000100.00148 -0.00137
DBX 0.000100.00147 -0.00137
BTSG 0.000100.00146 -0.00135
BLKB 0.000100.00141 -0.00131
COKE 0.000100.00137 -0.00127

Cryptocurrency

GARIUSD was the most central name, carrying 5.84× the influence of an average node across 388 assets.

assets
388
Density
0.112
Clustering
0.359
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
GARIUSD 1 0.01505 5.84× 63.3% 20.2% INVUSD, TEERUSD, BRICKUSD, ONDOUSD, IOTXUSD
BSXUSD 2 0.01264 4.90× 53.0% 10.6% FLOKIUSD, REQUSD, PRIMEUSD, REPUSD, PAXGUSD
REQUSD 3 0.01251 4.86× 45.5% 9.8% MVUSD, NEONUSD, VELOUSD, LCXUSD, AXLUSD
PROUSD 4 0.01226 4.76× 57.4% 23.3% HNTUSD, ASMUSD, ATOMUSD, PNKUSD, BANDUSD
BRICKUSD 5 0.01215 4.72× 51.4% 9.8% MDTUSD, POLISUSD, QNTUSD, KINUSD, SGBUSD
TEERUSD 6 0.01214 4.71× 46.8% 23.3% BTCEUR, DIMOUSD, BTCUSD, WBTCUSD, BTCGBP
MNGOUSD 7 0.01183 4.59× 51.9% 34.4% EGLDUSD, TUSD, HBARUSD, GLMUSD, CGLDUSD
REPUSD 8 0.01139 4.42× 41.9% 14.7% AUDIOUSD, RARIEUR, MASKUSD, MLNUSD, ALEPHUSD
LCXUSD 9 0.01118 4.34× 43.4% 12.7% PIRATEUSD, LSKUSD, FARMUSD, REQUSD, SRMUSD
ASMUSD 10 0.01073 4.16× 47.0% 13.7% MNTUSD, BNCUSD, XMRUSD, PUNDIXUSD, MDTUSD

Rising influence vs 2025-12-07

SymbolPageRank PreviousChange
GARIUSD 0.015050.00719 +0.00787
PROUSD 0.012260.00447 +0.00779
ASMUSD 0.010730.00342 +0.00731
LCXUSD 0.011180.00415 +0.00703
MNGOUSD 0.011830.00521 +0.00662

Falling influence

SymbolPageRank PreviousChange
KAVAUSD 0.003970.01376 -0.00979
CQTUSD 0.002960.01214 -0.00918
TEERUSD 0.012140.01870 -0.00655
DNTUSD 0.002920.00771 -0.00479
LITUSD 0.003380.00817 -0.00478

Foreign exchange

CNYHKD was the most central name, carrying 16.46× the influence of an average node across 894 pairs.

pairs
894
Density
0.048
Clustering
0.369
Diameter

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
CNYHKD 1 0.01841 16.46× 1.6% 0.4% PENCOP, GHSUSD, CLPCOP, COPCLP
HUFZAR 2 0.01079 9.65× 5.7% 3.9% GBPDOP, DOPGBP, SGDNOK, COPUSD, NOKUSD
GBPXPF 3 0.00962 8.60× 4.6% 7.5% NZDTRY, KRWBRL, CHFTWD, KRWGBP, TWDCAD
SEKILS 4 0.00901 8.05× 6.8% 4.0% ILSNOK, GBPBRL, KRWBRL, RUBCAD, BRLRUB
TWDSEK 5 0.00798 7.14× 10.8% 6.5% KRWBRL, TZSZAR, GBPBRL, HUFZAR, ZARMXN
JPYBRL 6 0.00769 6.87× 7.4% 8.8% CADRUB, RUBCAD, RUBUSD, RUBKRW, USDRUB
KRWEUR 7 0.00763 6.82× 4.6% 1.2% DOPGBP, ZARRON, CHFRON, RONCHF, GBPDOP
ARSPEN 8 0.00718 6.42× 11.4% 2.0% CDFGBP, CDFUSD, GBPCDF, EURCDF, GBPBIF
BRLJPY 9 0.00710 6.35× 8.6% 9.1% CADRUB, RUBUSD, RUBCAD, BRLUSD, USDRUB
USDUYU 10 0.00696 6.23× 11.0% 0.1% CNYHKD

Rising influence vs 2025-12-05

SymbolPageRank PreviousChange
CNYHKD 0.018410.00740 +0.01101
HUFZAR 0.010790.00046 +0.01033
GBPXPF 0.009620.00038 +0.00925
SEKILS 0.009010.00119 +0.00782
KRWEUR 0.007630.00079 +0.00684

Falling influence

SymbolPageRank PreviousChange
AUDBRL 0.000620.01509 -0.01448
CADBRL 0.003210.01124 -0.00803
CHFTHB 0.000220.00770 -0.00748
BRLEUR 0.002790.00885 -0.00607
PENCAD 0.001030.00708 -0.00604

How these numbers are produced

Transfer entropy measures how much knowing one asset's past reduces uncertainty about another's future, beyond what that asset's own past already explains. Unlike correlation it is directional, so an edge from A to B means A's moves carry information about B's next move — not merely that they move together.

Each night we estimate transfer entropy across three universes — roughly 1,500 US common stocks, 350 cryptocurrencies and 550 currency pairs — over a trailing one-year window, conditioning on a broad market series so that shared market-wide movement is discounted rather than counted as a link. Edges surviving the significance filter form that session's directed network, from which the centrality figures on this page are computed. Coverage differs by class: crypto reaches back to January 2024, equities to August 2025, so older digests may cover fewer classes.

PageRank ranks an asset by how much influence flows into it from other influential assets. In-degree and out-degree are the share of the network sending information to it and receiving information from it. Betweenness captures how often an asset sits on the shortest path between two others.

The volatility watch score is a model estimate of the probability that an asset sees elevated volatility in the coming sessions. It is a research output, not a forecast of price direction, and nothing on this page is investment advice.